5438759040 has 1024 divisors, whose sum is σ = 23688806400. Its totient is φ = 1161216000.

The previous prime is 5438759023. The next prime is 5438759041. The reversal of 5438759040 is 409578345.

5438759040 is a `hidden beast` number, since 54 + 3 + 8 + 7 + 590 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5438759041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76602205 + ... + 76602275.

It is an arithmetic number, because the mean of its divisors is an integer number (23133600).

Almost surely, 2^5438759040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5438759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844403200).

5438759040 is an abundant number, since it is smaller than the sum of its proper divisors (18250047360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5438759040 is a wasteful number, since it uses less digits than its factorization.

5438759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5438759040 is about 73747.9426153706. The cubic root of 5438759040 is about 1758.5981261012.

The spelling of 5438759040 in words is "five billion, four hundred thirty-eight million, seven hundred fifty-nine thousand, forty".